Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
권호 표지
DOI QR코드

DOI QR Code

RELIABILITY ESTIMATION FOR A DIGITAL INSTRUMENT AND CONTROL SYSTEM

  • Received : 2011.10.22
  • Accepted : 2012.03.10
  • Published : 2012.05.25
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we propose a reliability estimation method for DI&C systems. At the system level, a fault tree model is suggested and Boolean algebra is used to obtain the minimal cut sets. At the component level, an exponential distribution is used to model hardware failures, and Bayesian estimation is suggested to estimate the failure rate. Additionally, a binomial distribution is used to model software failures, and a recently developed software reliability estimation method is suggested to estimate the software failure rate. The overall system reliability is then estimated based on minimal cut sets, hardware failure rates and software failure rates.

Keywords

References

  1. J. Dennis Lawrence, "Software Reliability and Safety in Nuclear Reactor Protection Systems", US Nuclear Regulatory Commission, NUREG/CR-6001, 1993.
  2. David Lorge Parnas, G. J. K. Asmis, and Jan Madey, "Assessment of safety-critical software in nuclear power plants," Nuclear Safety, Vol. 32, No. 2 pp.189-198 (1991).
  3. N. G. Leveson, P. R. Harvey, "Analyzing software safety," IEEE Trans. On Software Engineering, Vol. 9, pp. 569-579, (1983). https://doi.org/10.1109/TSE.1983.235116
  4. W. Farr, "Software Reliability Modeling Survey", in Handbook of Software Reliability Engineering, Edited by Michael R. Lyu, IEEE Computer Society Press and McGraw-Hill Book Company, pp71-117, 1996.
  5. S. Kuo, C. Huang, and M. Lyu, "Framework for modeling software reliability, using various testing-efforts and faultdetection rate," IEEE Transactions on Reliability, Vol. 50, pp.310-320, 2001. https://doi.org/10.1109/24.974129
  6. H. Okamura, M. Ando, and T. Dohi, "A generalized gamma software reliability model," Systems and Computers in Japan, Vol. 38, pp81-90, 2007.
  7. W. Wang, T. Hemminger, and M. Tang, "A moving average Non-Homogeneous Poisson Process Reliability Growth Model to Account for Software with Repair and System Structure," IEEE Transactions on Reliability, Vol. 56, No. 3 pp. 411-421, (2007). https://doi.org/10.1109/TR.2007.903119
  8. C. Huang and C. Lin, "Software Reliability Analysis by Considering Fault Dependency and Debugging Time Lag," IEEE Transactions on Reliability, Vol. 55, No. 2 pp. 436-450, (2006). https://doi.org/10.1109/TR.2006.879607
  9. IEC standard, IEC 61508 (all parts): Functional safety of electrical/electronic/programmable electronic safety-related systems, 2008.
  10. H. A. Watson, "Launch control safety study," Bell Telephone Labs, Murray Hill, NJ USA, 1961.
  11. W. E. Vesely, F. F. Goldberg, N. H. Roberts, and D. F. Haasl, "Fault tree handbook," US Nuclear Regulatory Commission, NUREG-0492, 1981.
  12. T. L. Chu, G. Martine-Guridi, M. Yue, and P. Samanta, "Traditional probabilistic risk assessment methods for digital system," US Nuclear Regulatory Commission, NUREG/CR-6962, 2008.
  13. S. C. Bhatt and R. C. Wachowiak "ESBWR certification probabilistic risk assessment," GE-Hitachi Nuclear Energy, NEDO-33201, Revision 2, 2007.
  14. A. E. Green and A. J. Bounme, Reliability technology, Wiley-Interscience, London, (1972).
  15. U.S. Nuclear Regulatory Commission, "Reactor safety study-an assessment of accident risks in U.S. commercial nuclear power plant", NUREG-75/014, October, 1975.
  16. Department of Defense, "Reliability prediction of electronic equipment, Notice 2," MIL-HDBK-217F, 1995.
  17. S. J. Press, Bayesian statistics: principles, models, and applications, John Wiley & Sons, New York, (1989).
  18. A. Elfessi and D. M. Eineke, "A Bayesian look at classical estimation: the exponential distribution," Journal of Statistics Education, 2001, [online] 9(1). http://www.amstat.org/publications/jse/v9n1/elfessi.html
  19. J. H. Bickel, "Risk Implications of Digital Reactor Protection System Operating Experience," Reliability Engineering & System Safety, Vol. 93, pp107-124 (2008). https://doi.org/10.1016/j.ress.2006.10.015
  20. Y. Yang, "A flow network model for software reliability assessment," Proceedings of 6th American nuclear society international topical meeting on nuclear plant instrumentation, control, and human-machine interface technologies (2009), Knoxville, April 5-9, 2009.
  21. T. L. Chu, M. Yue, G. Martinez-Gruidi, and J. Lehner, Review of quantitative software reliability methods, BNL-94074-2010, Brookhaven National Laboratory (2010).
  22. Y. Yang and R. Sydnor, "Multi-threads software reliability estimation based on test results and software structure," Proceedings of 10th international probabilistic safety assessment and management conference (2010), Seattle, June 7-11, 2010.

Cited by

  1. Sensitivity Study on Availability of I&C Components Using Bayesian Network vol.2013, pp.1687-6083, 2013, https://doi.org/10.1155/2013/656548